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Finding the Fourth Proportional to 2,789.92, 3,850.32 and 1,741.92

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Solution

The fourth proportional to 2,789.92, 3,850.32 and 1,741.92 is: 2,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.92 : 3,850.32 = 1,741.92 : x
  2. Step 2: Convert to fraction form
    2,789.92/3,850.32 = 1,741.92/x
  3. Step 3: Cross multiply
    2,789.92x = 3,850.32 × 1,741.92
  4. Step 4: Simplify right side
    2,789.92x = 6,706,949.41
  5. Step 5: Solve for x
    x = 6,706,949.41/2,789.92
  6. Step 6: Final answer
    x = 2,403.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.